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Finding the Third Proportional to 584.40 and 1,257.08

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Solution

The third proportional to 584.40 and 1,257.08 is: 2,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 1,257.08 = 1,257.08 : x
  2. Step 2: Convert to fraction form
    584.40/1,257.08 = 1,257.08/x
  3. Step 3: Cross multiply
    584.40x = 1,257.08 × 1,257.08
  4. Step 4: Simplify right side
    584.40x = 1,580,255.23
  5. Step 5: Solve for x
    x = 1,580,255.23/584.40
  6. Step 6: Final answer
    x = 2,704.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.